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Finding the Fourth Proportional to 37,206.84, 55,813.13 and 10,552.37

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Solution

The fourth proportional to 37,206.84, 55,813.13 and 10,552.37 is: 15,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206.84 : 55,813.13 = 10,552.37 : x
  2. Step 2: Convert to fraction form
    37,206.84/55,813.13 = 10,552.37/x
  3. Step 3: Cross multiply
    37,206.84x = 55,813.13 × 10,552.37
  4. Step 4: Simplify right side
    37,206.84x = 588,960,798.62
  5. Step 5: Solve for x
    x = 588,960,798.62/37,206.84
  6. Step 6: Final answer
    x = 15,829.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.